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- W2616635041 abstract "Let $G$ be an inner form of a general linear group over a non-archimedean locally compact field of residue characteristic $p$, let $R$ be an algebraically closed field of characteristic different from $p$ and let $mathscr{R}_R(G)$ be the category of smooth representations of $G$ over $R$. In this paper, we prove that a block (indecomposable summand) of $mathscr{R}_R(G)$ is equivalent to a level-$0$ block (a block in which every object has non-zero invariant vectors for the pro-$p$-radical of a maximal compact open subgroup) of $mathscr{R}_R(G')$, where $G'$ is a direct product of groups of the same type of $G$." @default.
- W2616635041 created "2017-05-26" @default.
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- W2616635041 date "2018-10-27" @default.
- W2616635041 modified "2023-09-26" @default.
- W2616635041 title "Blocks of the category of smooth ℓ-modular representations of GL(n,F) and its inner forms : reduction to level 0" @default.
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- W2616635041 doi "https://doi.org/10.2140/ant.2018.12.1675" @default.
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